On stability properties of powers of polymatroidal ideals
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Publication:2323310
DOI10.1007/s13348-018-0234-xzbMath1435.13002arXiv1803.00730OpenAlexW2962777507WikidataQ129085783 ScholiaQ129085783MaRDI QIDQ2323310
Publication date: 30 August 2019
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.00730
Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Related Items
Strong persistence and associated primes of powers of monomial ideals ⋮ Sequentially cohen-macaulay matroidal ideals ⋮ A note on stability properties of powers of polymatroidal ideals ⋮ Linear resolutions and polymatroidal ideals
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Cites Work
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- Squarefree monomial ideals with constant depth function
- On the stable set of associated prime ideals of a monomial ideal
- Persistence and stability properties of powers of ideals
- Cohen-Macaulay Rees algebras and their specialization
- Ideals of fiber type and polymatroids
- Stability of associated primes of integral closures of monomial ideals
- On the prime divisors of IJ when I is integrally closed
- Resolutions by mapping cones
- Stability properties of powers of ideals in regular local rings of small dimension
- Castelnuovo-Mumford regularity of products of ideals
- Discrete polymatroids
- The stable set of associated prime ideals of a polymatroidal ideal
- Monomial localizations and polymatroidal ideals
- Cohen-Macaulay polymatroidal ideals
- The depth of powers of an ideal
- Depth and regularity modulo a principal ideal
- Bounding the socles of powers of squarefree monomial ideals
- Some Arithmetic Properties of Matroidal Ideals
- Asymptotic Stability of Ass(M/I n M)
- The asymptotic nature of the analytic spread
- Monomial Ideals
- CoCoALib: A C++ Library for Computations in Commutative Algebra... and Beyond